Mathematics

Mathematics

Problem

For which real values of

k

does the series

\sum_{n=1}^{\infty}\frac{n^{k}}{n^{2}+n^{k}}

converge? a) It converges if and only if

k\le 0

. b) It converges if and only if

-1<k<1

. c) It converges if and only if

k<1

. d) It converges if and only if

k>1

.

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